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شائع >

factor 27x^3-64y^3

الحلّ

factor

27 x^{3} - 64 y^{3}

الحلّ

(3 x - 4 y) (9 x^{2} + 12 x y + 16 y^{2})

خطوات الحلّ

27 x^{3} - 64 y^{3}

فعّل قانون القوى

= (3 x)^{3} - (4 y)^{3}

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

فعّل القانون

(3 x)^{3} - (4 y)^{3} = (3 x - 4 y) ((3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2})

= (3 x - 4 y) ((3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2})

(3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2}

بسّط:

9 x^{2} + 12 x y + 16 y^{2}

= (3 x - 4 y) (9 x^{2} + 12 x y + 16 y^{2})

أمثلة شائعة

simplify 16^{(-2)/3}simplify

1 6^{\frac{- 2}{3}}

3 x + 3 = x + 7

simplify 7/10+3/4 simplify

\frac{7}{10} + \frac{3}{4}

factor 2x^2-9x+4 factor

2 x^{2} - 9 x + 4

x^2+7x-3=-4x-21

x^{2} + 7 x - 3 = - 4 x - 21